Solve t=1+1/x

$$t = 1+ \frac{ 1 }{ x }$$

Solve for x

$$x=-\frac{1}{1-t}$$

$$t\neq 1$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$tx=x+1$$

Subtract x from both sides.

$$tx-x=1$$

Combine all terms containing x.

$$\left(t-1\right)x=1$$

Divide both sides by t-1.

$$\frac{\left(t-1\right)x}{t-1}=\frac{1}{t-1}$$

Dividing by t-1 undoes the multiplication by t-1.

$$x=\frac{1}{t-1}$$

Variable x cannot be equal to 0.

$$x=\frac{1}{t-1}\text{, }x\neq 0$$

Solve for t

$$t=1+\frac{1}{x}$$

$$x\neq 0$$